1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
13

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin or end with a 0 and the PIN must

be an even number? a. 3,600 b. 4,000 c. 4,500 d. 8,100
Mathematics
2 answers:
Anna35 [415]3 years ago
8 0

Consider 4 positions of four-digit PIN:

1. PIN cannot begin with 0, then it can begin with 9 remaining digits (1, 2, 3, 4, 5, 6, 7, 8 and 9) - 9 posibilities;

2. for the second and third position yuo can select any of 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) - 10·10=100 posibilities;

3. the PIN must be an even number and cannot be 0, then it ends with any of 4 even digits (2, 4, 6 and 8) - 4 posibilities.

Use the product rule to count the total number of posibilities:

9·100·4=3600.

Answer: correct choice is A.

Masteriza [31]3 years ago
4 0
There would be 4500 combonations
You might be interested in
Pls answer this question soon (question attached)
vovangra [49]

Step-by-step explanation:

1) r+28=180( being linear pair angle)

r=180-28

r=152

2) a= 110( being vertically opposite angle)

4 0
3 years ago
For a convex 41-gon, what is the sum of the measures of the interior angles?
Sonja [21]
Given:

convex 41-gon
n = 41

Required:

Sum of interior angles.

Solution:

To solve for the sum of interior angles, we can use the formula:

Sum of interior angles = 180(n-2)°

Substituting,

Sum of interior angles = 180(41-2)°

Sum of interior angles = 7020°

Therefore, the sum of the measures of the interior angle of a convex 41-gon is 7020°.
7 0
3 years ago
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can c
gulaghasi [49]

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

3 0
3 years ago
A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?
patriot [66]

Answer:

J   The relation represents y as a function of x, because each value of x is associated with a single value of y.

Step-by-step explanation:

I'm sure of this

7 0
3 years ago
Read 2 more answers
If a bolt of fabric measuring 20 yards 8 inches is divided into 26 equal parts. how long is each section?
Troyanec [42]
1 yd = 36 inches....so 20 yds = 20*36 = 720 inches....+ 8 inches = 728 inches

728 / 26 = 28 inches....<==each section is 28 inches
6 0
3 years ago
Other questions:
  • Which of the binomials below is a factor of this trinomial?<br>х2 - 10х- 39​
    6·1 answer
  • Which verbal expression best describes the algebraic expression 2x ÷ 4?
    9·2 answers
  • Quadrilateral RSTU has vertices at R(2,-2), S(4, -3), T(4-6), and U(2, - 7). Which of the following statements is true?
    13·1 answer
  • I need help with this
    13·1 answer
  • Raaela is a physical education teacher and has 25 girls and 35 boys in her class.
    5·1 answer
  • Whoever does this correctly get brainliest
    8·2 answers
  • Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3<br> Show work please
    12·1 answer
  • A vendor supplies 38 liters of milk to a hotel in the morning and 72 liters of milk in the evening. If the milk costs Rs.48 per
    11·1 answer
  • 8x^2 - 7y^2- 2x^2 + 10y^2=?<br><br> I WILL GIVE BRAINLIEST TO THE FIRST TO GET IT RIGHT!!!!
    8·1 answer
  • What would the graph look like?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!